Atkin-Lehner |
2+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950a |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-21834609875000 = -1 · 23 · 56 · 133 · 433 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5050,179500] |
[a1,a2,a3,a4,a6] |
Generators |
[65:855:1] |
Generators of the group modulo torsion |
j |
911262377375/1397415032 |
j-invariant |
L |
3.0029996208878 |
L(r)(E,1)/r! |
Ω |
0.46192202697577 |
Real period |
R |
3.2505481937596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1118a2 |
Quadratic twists by: 5 |